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Solve using elimination.\newline8x+10y=148x + 10y = 14\newline8x+7y=−78x + 7y = -7\newline(_____, _____)

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Q. Solve using elimination.\newline8x+10y=148x + 10y = 14\newline8x+7y=−78x + 7y = -7\newline(_____, _____)
  1. Write Equations: Write down the system of equations to be solved using elimination.\newline8x+10y=148x + 10y = 14\newline8x+7y=−78x + 7y = -7
  2. Subtract Equations: Subtract the second equation from the first equation to eliminate the variable xx.(8x+10y)−(8x+7y)=14−(–7)(8x + 10y) - (8x + 7y) = 14 - (–7)
  3. Find y Value: Perform the subtraction to find the value of y. \newline8x−8x+10y−7y=14+78x - 8x + 10y - 7y = 14 + 7\newline0x+3y=210x + 3y = 21
  4. Solve for y: Simplify the equation and solve for y.\newline3y=213y = 21\newliney=213y = \frac{21}{3}\newliney=7y = 7
  5. Substitute for x: Substitute the value of yy back into one of the original equations to solve for xx. Using the second equation: 8x+7y=−78x + 7y = -7 8x+7(7)=−78x + 7(7) = -7 8x+49=−78x + 49 = -7
  6. Isolate x Term: Subtract 4949 from both sides of the equation to isolate the term with xx.\newline8x+49−49=−7−498x + 49 - 49 = -7 - 49\newline8x=−568x = -56
  7. Solve for x: Divide both sides by 88 to solve for x.\newline8x8=−568\frac{8x}{8} = \frac{-56}{8}\newlinex=−7x = -7

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